Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C4×#14268647 | C2 | semidirect |
| 3. #20298614 | C2 | semidirect |
| 4. #20298572 | C2 | semidirect |
| 5. #20298369 | C2 | semidirect |
| 6. #20298358 | C2 | semidirect |
| 7. C2×#104×C113 | C2 | semidirect |
| 9. #16813653 | C4 | semidirect |
| 11. #16813648 | C4 | semidirect |
| 43. #14268631 | C2×C4 | semidirect |
| 58. C2×Q8×C113 | C2×C4 | semidirect |
| 60. C2×D4×C113 | C2×C4 | semidirect |
| 130. C113 | #1906 | semidirect |
| 134. C2×#104 | D113 | semidirect |
| 168. C2×Q8 | C4×D113 | semidirect |
| 172. C2×D4 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299396 | 2 |
| C4×#14268647 | 2 |
| #20298614 | 2 |
| #20298572 | 2 |
| #20298369 | 2 |
| #20298358 | 2 |
| C2×#104×C113 | 2 |
| #1906 | 113 |